Question

Mason borrowed $1,200 from a friend to buy a new hot tub.His friend doesn’t charge any interest and Mason makes $50payments each month. Identify the key features of the graphof this function.Find the DomainFind the RangeFind the x- interceptFind the y - interceptIncreasing or decreasingContinuous or discrete Positive or negative Maximum or Minimum Where? Max:_____ ———-

Answer 1

Given:

Mason borrowed $1,200 from a friend.

Mason makes $50 payments each month to his friend.

Explanation:

a) To find the domain:

We know that the domain is the set of all input values.

From the graph, we observe that

The domain is,

$D=\mleft\lbrace0,1,2,3,\ldots..24\mright\rbrace$

a) To find the range:

We know that the range is the set of all output values.

From the graph, we observe that

The range is,

$R=\mleft\lbrace x\colon x\text{ is 0 and multitples of 50 upto 1200}\mright\rbrace$

c) To find the x-intercept:

When y=o, we get

$x=24$

So, the x-intercept is (24,0).

d) To find the y-intercept:

When x=0, we get

$y=1200$

So, the y-intercept is (0, 1200).

e) To determine whether it is increasing or decreasing function:

Since, y decrease when x increases.

So, it is a decreasing function.

f) To determine whether it is continuous or discrete:

Since the diagram shows distinct points that remain unconnected.

So, the given function is a discrete function.

g) To determine whether it is positive or negative:

Since, the line is sloping downward from left to right, so the slope of the line is negative.

Hence, the anwer is negative.